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Finding the Fourth Proportional to 343.92, 475.02 and 278.76

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Solution

The fourth proportional to 343.92, 475.02 and 278.76 is: 385.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    343.92 : 475.02 = 278.76 : x
  2. Step 2: Convert to fraction form
    343.92/475.02 = 278.76/x
  3. Step 3: Cross multiply
    343.92x = 475.02 × 278.76
  4. Step 4: Simplify right side
    343.92x = 132,416.58
  5. Step 5: Solve for x
    x = 132,416.58/343.92
  6. Step 6: Final answer
    x = 385.02

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.